Answer
$6+4i$
Work Step by Step
Use distributive property.
$2i(2-3i)=2i\cdot 2-2i\cdot 3i$
Simplify.
$=4i-6i^2$
Use $i^2=-1$.
$=4i-6(-1)$
Simplify.
$=4i+6$
$=6+4i$
Hence, the solution in the standard form is $6+4i$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Appendix A - Review - A.7 Complex Numbers; Quadratic Equations in the Complex Number System - A.7 Assess Your Understanding - Page A60: 19
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